Snow had a successful rookie season in 1990 and was expected to be a major contributor to Marty Schottenheimer's defense with the Chiefs. However, he was involved in an accident while riding a scooter during training camp in 1991. Snow sustained season-ending injuries to his knee in the wreck and never fully recovered from the accident. His career ended after only three active seasons (he spent 1991 on injured reserve) with just one start in his final two.